Lectures on Fibre Bundles and Differential Geometry
by J.L. Koszul
Publisher: Tata Institute of Fundamental Research 1960
ISBN/ASIN: B0007ILP40
Number of pages: 105
Description:
Contents: Differential Calculus; Differentiable Bundles; Connections on Principal Bundles; Holonomy Groups; Vector Bundles and Derivation Laws; Holomorphic Connections (Complex vector bundles, Almost complex manifolds, Derivation law in the complex case).
Download or read it online for free here:
Download link
(520KB, PDF)
Similar books
Triangles, Rotation, a Theorem and the Jackpotby Dave Auckly - arXiv
This paper introduced undergraduates to the Atiyah-Singer index theorem. It includes a statement of the theorem, an outline of the easy part of the heat equation proof. It includes counting lattice points and knot concordance as applications.
(9260 views)
Orthonormal Basis in Minkowski Spaceby Aleks Kleyn, Alexandre Laugier - arXiv
In this paper, we considered the definition of orthonormal basis in Minkowski space, the structure of metric tensor relative to orthonormal basis, procedure of orthogonalization. Contents: Preface; Minkowski Space; Examples of Minkowski Space.
(10720 views)
Synthetic Geometry of Manifoldsby Anders Kock - University of Aarhus
This textbook can be used as a non-technical and geometric gateway to many aspects of differential geometry. The audience of the book is anybody with a reasonable mathematical maturity, who wants to learn some differential geometry.
(11508 views)
Principles of Differential Geometryby Taha Sochi - viXra
A collection of notes about differential geometry prepared as part of tutorials about topics and applications related to tensor calculus. They can be used as a reference for a first course on the subject or as part of a course on tensor calculus.
(7961 views)